Dragos Oprea
Published 2011-06-20, updated 2016-12-29Version 2
We study the bundles of generalized theta functions constructed from moduli spaces of sheaves over abelian surfaces. In degree 0, the splitting type of these bundles is expressed in terms of indecomposable semihomogeneous factors. Furthermore, Fourier-Mukai symmetries of the Verlinde bundles are found, consistently with strange duality. Along the way, a transformation formula for the theta bundles is derived, extending a theorem of Drezet-Narasimhan from curves to abelian surfaces.
Invariants of moduli spaces of abelian surfaces
On moduli spaces of sheaves on K3 or abelian surfaces
Relative Proportionality for subvarieties of moduli spaces of K3 and abelian surfaces
![QR code for arXiv:1106.3890 [math.AG]](http://oss.arxitics.com/images/favicon.svg)